I really need help with this question

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k

Ideal meters problem. what internal resistance is ideal for a voltmeter? what internal resistance is ideal for an ammeter?

10. the kinetic theory of matter states that atomic particles will move if the temperature is above the freezing temperature of water atomic particles bounce off each other one time in their life atomic particles are constantly bumping off each other because particles are in direct contact with each other at all times all matter is made up of atomic particles which are in constant random motion